Moving basepoints and the induced automorphisms of link Floer homology

作者：Sarkar Sucharit^*

来源：Algebraic and Geometric Topology, 2015, 15(5): 2479-2515.

DOI：10.2140/agt.2015.15.2479

Given an l-component pointed oriented link. (L, p) in an oriented three-manifold Y, one can construct its link Floer chain complex CFL (Y, L, p) over the polynomial ring F-2 [U-1,..., U-l ]. Moving the basepoint p(i) is an element of L-i once around the link component L-i induces an automorphism of CFL (Y, L, p). We study a (possibly different) automorphism of CFL (Y, L, p) defined explicitly in terms of holomorphic disks; for links in S-3, we show that these two automorphisms are the same.

• 出版日期2015